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时间测度链上p-Laplace算子型三点边值问题两个正解的存在性 被引量:2

Twin Positive Solutions of Three-point Boundary Value Problems with p-Laplace Operator on Time Scales
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摘要 运用锥拉压不动点定理,讨论了一类时间测度链上p-Laplace算子型三点边值问题两个正解的存在性,并给出例子说明主要结果的有效性。 The existence of twin positive solutions of three-point boundary value problems with p-Laplace operator is considerd on time scales by applying fixed point theorem of cone expansion and compression. Finally an example is worked out to demonstrate our results.
出处 《科学技术与工程》 2010年第6期1491-1493,共3页 Science Technology and Engineering
基金 山东师范大学研究生科研创新基金项目(SCX0907)资助
关键词 正解 P-LAPLACE算子 时间测度链 不动点定理 Positive solutions p-Laplace operator Time scale Fixed points
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参考文献5

  • 1Hilger S. Analysis on measure chains- a unified approach to continuous and discrete calculus. Results Math, 1990 ; 18 : 18-56.
  • 2Agarwal R P, O' Regan D. Nonlinear boundary value problems on time scales: Nonl Anal, 2001 ;44:527-535.
  • 3Erbe L, Peterson A. positive solutions for a nonlinear differential equation on a measure chain. Mathematical Computer Modelling, 2000 ;32:571-585.
  • 4Hong S, Triple positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales, Comput Math Appl, 2007 ;206:967-976.
  • 5Guo D, Lakshmikantham V, Liu X. Nonlinear integral equations in abstract spaces. Jinan: Shan-dongsci. tech. Publishing House, 1989 : 1-341.

同被引文献11

  • 1[6]郭大均.非线性泛函分析[M].第2版.济南:山东科学技术出版社,2001.
  • 2Ma D,Du Z,Ge W.Existence and iteration of monotone positive solutions for multi-point boundary value problem with p-Laplacian operator.Comput Math Appl,2005;50:729-739.
  • 3Lü H,O'Regan D,Zhang C.Multiple positive solutions for the one dimensional singular p-Laplacian,Appl Math Comput,2002;133:407-422.
  • 4Shen L,Liu X,Lu Z.Multiplicity of positive solutions for four-point boundary value problems of inpulsive differential equations with p-Laplacian.Electron.J Diff Equa,2010;52:1-10.
  • 5Li H,Liu Y.Triple solutions for multi-point boundary-value problem with p-Laplace operator.Electron.J Diff Equa,2009;150:1-9.
  • 6Wang Y,Hou C.Existence of multiple positive solutions for one-dimensional p-Laplace.J Math Anal Appl,2006;315:144-153.
  • 7Su Hua, Wang Baohe, Wei Zhongli. Positive solutions of fourth - order four - point boundary value problems with p - Laplacian operator[ J ]. J. Math. Anal. Appli. , 2006 (7) :1 -10.
  • 8魏利.关于含有p拉普拉斯算子方程解的存在性的注(英文)[J].应用泛函分析学报,2007,9(3):220-226. 被引量:2
  • 9师夏阳,丁宣浩,蒋英春.p(x)拉普拉斯方程Dirichlet条件多解性问题研究(英文)[J].云南民族大学学报(自然科学版),2008,17(4):289-293. 被引量:1
  • 10王琼,邢业朋.二阶反周期边值问题Nagumo型存在性定理(英文)[J].上海师范大学学报(自然科学版),2010,39(1):13-23. 被引量:1

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